Likelihood Training of Schrödinger Bridge Using Forward-Backward SDEs Theory
Explore likelihood training of Schrödinger Bridge using Forward-Backward SDEs theory for deep generative modeling, offering mathematical flexibility and optimization principles.
Scalar Modular Bootstrap and Zeros of the Zeta Function
Explore connections between modular bootstrap techniques and the Riemann zeta function's zeros, delving into mathematical physics and number theory.
Dynamical Spectral Transition for Optimization in Very High Dimensions
Explore dynamical spectral transitions in high-dimensional optimization, examining mathematical concepts and their applications in complex systems and data analysis.
From Mosquitoes to ChatGPT - The Birth and Strange Life of the Random Walk
Explore the fascinating history and diverse applications of random walks, from mosquito control to AI, and their impact on modern technology and scientific understanding.
Optimal Transport and High-Dimensional Probability - Langevin Dynamics via Calculus
Explore optimal transport, high-dimensional probability, and Langevin dynamics through advanced calculus techniques in this mathematical deep dive.
Disordered Systems and Related Spectra - Rothschild Lecture
Explore disordered systems and spectral theory, focusing on Schrodinger operators with random potential and large random matrices.
Dynamics Close to Equilibrium and Chaos - Lecture 3
Explore equilibrium dynamics and chaos, delving into advanced concepts with expert insights from Anatoly Polkovnikov of Boston University.
Dynamics Close to Equilibrium and Chaos - Lecture 2
Explore equilibrium dynamics and chaos, delving into advanced concepts with insights from Boston University expert Anatoly Polkovnikov.
Factorization of Density Matrices for the Critical RSOS Models
Explore integrability in condensed matter physics and quantum field theory through factorization of density matrices for critical RSOS models.
Interacting Particle Systems on Sparse W-Random Graphs
Explore interacting particle systems on sparse W-random graphs in this workshop. Gain insights from leading experts through plenary talks, contributed presentations, and collaborative sessions on randomness and network learning.
On the Tangent Bundles of Statistical Manifolds
Explore tangent bundles of statistical manifolds, delving into advanced concepts in differential geometry and information geometry.
The Extremal Point Process of Branching Brownian Motion in Rd
Explore the behavior of particles in multidimensional branching Brownian motion, focusing on extremal points and their distribution over time.
Maximally Predictive Ensemble Dynamics from Data
Explore maximally predictive ensemble dynamics, uncovering data-driven insights for complex system analysis and forecasting.
Random Matrix Theory Applications from Single to Many-Body Quantum Chaos - Class 2
Explore random matrix theory applications in quantum chaos, from single-particle to many-body systems, with insights from Thomas Guhr's advanced lecture series.
The Influence of External Drives on the Frustrated Kuramoto Model
Explore the impact of external influences on the frustrated Kuramoto model in complex network dynamics. Gain insights into advanced synchronization phenomena.
Components of Meandric Systems and the Infinite Noodle
Explore meandric systems and the infinite noodle concept, delving into mathematical components and their implications in combinatorial theory.
SDEs Are All You Need for Latent Variable Models
Explore stochastic differential equations for latent variable models, focusing on applications in probabilistic AI and machine learning.
Spontaneous Stochasticity in Multi-Scale Dynamics
Explore spontaneous stochasticity in multi-scale dynamics, focusing on turbulence models and the formalization of stochastic solutions using renormalization-group operator attractors.
Topological Recursion: A Recursive Way of Counting Surfaces
Explore topological recursion for enumerating surfaces in combinatorics, geometry, and physics. Learn how this universal method links to integrable systems and random matrices.
Random Plane Geometry - A Gentle Introduction
Explore random plane geometry and its scaling limits, focusing on first passage percolation and the directed landscape in Kardar-Parisi-Zhang models.
A Journey from Statistical Mechanics to Number Theory
Explore connections between statistical mechanics and number theory, focusing on the Riemann zeta function and its relation to phase transitions in disordered systems.